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230107527 = 33132211239
BaseRepresentation
bin11011011011100…
…10100110000111
3121000222200012000
431231302212013
5432401420102
634500000343
75462611266
oct1555624607
9530880160
10230107527
11108987211
12650900b3
1338899200
14227bc5dd
151530501c
hexdb72987

230107527 has 48 divisors (see below), whose sum is σ = 372441600. Its totient is φ = 140343840.

The previous prime is 230107469. The next prime is 230107567. The reversal of 230107527 is 725701032.

230107527 is a `hidden beast` number, since 2 + 30 + 107 + 527 = 666.

It is not a de Polignac number, because 230107527 - 27 = 230107399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 230107527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230107567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962674 + ... + 962912.

It is an arithmetic number, because the mean of its divisors is an integer number (7759200).

Almost surely, 2230107527 is an apocalyptic number.

230107527 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230107527 is a deficient number, since it is larger than the sum of its proper divisors (142334073).

230107527 is a wasteful number, since it uses less digits than its factorization.

230107527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 230107527 is about 15169.2955340714. The cubic root of 230107527 is about 612.7880323485.

Adding to 230107527 its reverse (725701032), we get a palindrome (955808559).

The spelling of 230107527 in words is "two hundred thirty million, one hundred seven thousand, five hundred twenty-seven".

Divisors: 1 3 9 13 27 39 117 169 211 239 351 507 633 717 1521 1899 2151 2743 3107 4563 5697 6453 8229 9321 24687 27963 35659 40391 50429 74061 83889 106977 121173 151287 320931 363519 453861 655577 962793 1090557 1361583 1966731 5900193 8522501 17700579 25567503 76702509 230107527